A residential area (zone A) and a major job region (zone B) are connected by a...
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A residential area (zone A) and a major job region (zone B) are connected by a highway. Workers commute to work from zone A to zone B on the highway every workday. Suppose the total travel demand is N-2000 passengers/hour. Workers can either drive to work alone on a vehicle or take a bus. Assume that car sharing is not practiced, i.e... there is only one person in each car, and that the bus service can fully accommodate any level of passenger demand. The utility functions for the two modes are found to be: V = -0.11 V=-0.11-0.5 Due to congestion, the travel time (in minutes) (the same for private car and bus) is given by: 1=10+0.01g where q (veh/hour) is the total traffic (i.e., the volume of cars and buses together, assuming the passenger car unit or PCU of bus equals 1) on the highway. Assume that the highway only carries the commuting traffic (i.e., cars and buses) from zone A to zone B. The bus service is provided by a fixed fleet of 100 buses per hour running from zone A to zone B regardless of the bus passenger volume. Use the logit model for the following analysis. (a) Determine the bus passengers per hour. 1 (Hint: you may find this expression useful: +²c I+e³ ) (b) Calculate the total vehicular travel time per hour, defined as TVTT = q-t (c) Calculate the total passenger travel time per hour, defined as: TPTT (N+New)-1 where N N respectively, represent the bus and car passengers/hour. (d) In order to control the traffic volume on the highway, a parking charge SC is introduced at zone B to encourage people switching to buses. After calibration, the resultant utility function for driving becomes: Var=-0.11 -0.03C Now, what should the parking charge C be if the government desires to reduce the number of people driving by 20%? A residential area (zone A) and a major job region (zone B) are connected by a highway. Workers commute to work from zone A to zone B on the highway every workday. Suppose the total travel demand is N-2000 passengers/hour. Workers can either drive to work alone on a vehicle or take a bus. Assume that car sharing is not practiced, i.e... there is only one person in each car, and that the bus service can fully accommodate any level of passenger demand. The utility functions for the two modes are found to be: V = -0.11 V=-0.11-0.5 Due to congestion, the travel time (in minutes) (the same for private car and bus) is given by: 1=10+0.01g where q (veh/hour) is the total traffic (i.e., the volume of cars and buses together, assuming the passenger car unit or PCU of bus equals 1) on the highway. Assume that the highway only carries the commuting traffic (i.e., cars and buses) from zone A to zone B. The bus service is provided by a fixed fleet of 100 buses per hour running from zone A to zone B regardless of the bus passenger volume. Use the logit model for the following analysis. (a) Determine the bus passengers per hour. 1 (Hint: you may find this expression useful: +²c I+e³ ) (b) Calculate the total vehicular travel time per hour, defined as TVTT = q-t (c) Calculate the total passenger travel time per hour, defined as: TPTT (N+New)-1 where N N respectively, represent the bus and car passengers/hour. (d) In order to control the traffic volume on the highway, a parking charge SC is introduced at zone B to encourage people switching to buses. After calibration, the resultant utility function for driving becomes: Var=-0.11 -0.03C Now, what should the parking charge C be if the government desires to reduce the number of people driving by 20%?
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Part a To determine the bus passengers per hourwe can use the logit modelThe logit model is a discrete choice model that predicts the probability of a... View the full answer
Related Book For
South-Western Federal Taxation 2018 Comprehensive
ISBN: 9781337386005
41st Edition
Authors: David M. Maloney, William H. Hoffman, Jr., William A. Raabe, James C. Young
Posted Date:
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